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2221100202100 = 2252131708538617
BaseRepresentation
bin100000010100100011111…
…000110111100001110100
321212100001021212212021011
4200110203320313201310
5242342303122431400
64420205341402004
7316316635133203
oct40244370674164
97770037785234
102221100202100
11786a6618413a
122ba569b69304
131315ab17cb20
147970500923a
153cb98a938ba
hex20523e37874

2221100202100 has 36 divisors (see below), whose sum is σ = 5190540321484. Its totient is φ = 820098535680.

The previous prime is 2221100202091. The next prime is 2221100202131. The reversal of 2221100202100 is 12020011222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 512945304804 + 1708154897296 = 716202^2 + 1306964^2 .

It is a super-2 number, since 2×22211002021002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854268009 + ... + 854270608.

Almost surely, 22221100202100 is an apocalyptic number.

2221100202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221100202100 is an abundant number, since it is smaller than the sum of its proper divisors (2969440119384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2221100202100 is a wasteful number, since it uses less digits than its factorization.

2221100202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708538644 (or 1708538637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2221100202100 its reverse (12020011222), we get a palindrome (2233120213322).

The spelling of 2221100202100 in words is "two trillion, two hundred twenty-one billion, one hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1708538617 3417077234 6834154468 8542693085 17085386170 22211002021 34170772340 42713465425 44422004042 85426930850 88844008084 111055010105 170853861700 222110020210 444220040420 555275050525 1110550101050 2221100202100